多重N重对称平面符合
Multiple planar coincidences with N-fold symmetry
摘要：
平面重合点格和具有N重对称性的模在基于分圆域的公式中得到了很好的理解，特别是对于类数情况，它们在相应的整数环中作为某些主理想出现。我们将这种方法扩展到多个巧合，适用于三重或多重路口。特别是，我们给出了明确的结果的频谱，组合和渐近性质的狄利克雷级数生成函数。
英文摘要：
Planar coincidence site lattices and modules with N-fold symmetry are well understood in a formulation based on cyclotomic fields, in particular for the class number one case, where they appear as certain principal ideals in the corresponding ring of integers. We extend this approach to multiple coincidences, which apply to triple or multiple junctions. In particular, we give explicit results for spectral, combinatorial and asymptotic properties in terms of Dirichlet series generating functions.
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